3a^2b + 6a^2b

9a^4b^2

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To simplify the expression 3a^2b + 6a^2b, we can combine like terms. Like terms have the same variables raised to the same powers.

First, let's look at the coefficient in front of the terms with a^2b. We have 3 and 6. To combine these coefficients, we can simply add them together.

3 + 6 = 9

So, the coefficient of the simplified expression will be 9.

Next, we look at the variable part. Both terms have a^2b, so we can keep that part the same.

Putting it all together, we have:

9a^2b

Therefore, the simplified expression is 9a^2b.